A Fixed Point Result for Environment-Induced Semigroups

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dc.creatorLisewski, A. M.
dc.date2002-11-11
dc.date2002-11-30
dc.date.accessioned2026-07-07T06:05:26Z
dc.date.available2026-07-07T06:05:26Z
dc.descriptionBased on the environment induced semigroup approach to the quantum measurement process, we show that a certain class of these semigroups, referred to as contractive uniformly $k$-Lipschitzian semigroups, exhibit a fixed point property. With regard to the quantum measurement problem, semigroups of this kind ensure decoherence and the selection of a single state from the familiy of pointer states. In fact, the common fixed point is the selected state.
dc.descriptionminor changes in v2; 4 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0211054
dc.identifierhttp://arxiv.org/abs/quant-ph/0211054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90636
dc.subjectQuantum Physics
dc.titleA Fixed Point Result for Environment-Induced Semigroups
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